If you don't want to receive notifications from Apple Music on your device, you can turn them off.

Turn off Apple Music notifications on your iOS device

Open the Music app.

Tap For You, then tap your photo or in the upper-right corner.

Under Notifications, turn off Friend Activity to stop receiving notifications when friends start following you. Turn off "Artists and Shows" to stop receiving notifications from the artists and about the shows that you follow.

Turn off Apple Music notifications on your Android device

Open the Apple Music app.

Tap in the upper-left corner, then tap Settings > Account Settings.

Under Notifications, tap Manage Notifications.

Turn off Friends to stop receiving notifications when friends start following you. Turn off "Artists and Shows" to stop receiving notifications from the artists and about the shows that you follow.